5. Primes as “DIAGONAL Roots” of “OCTAGONAL Sums”

When ± ROOTS of Sums of Squares consist of exact values, they cover:-

  • Multiples of 5 – visualised on Roots as Diagonals
  • Primes:
    • 13: 8 x 8 [2×4 x 2×4]
    • 17: 8 x 8 [2×4 x 2×4]
    • 37: 24 x 24 [6×4 x 6×4]
    • 41: 32 x 32 [8×4 x 8×4]
    • 53: 18 x 18 [6×3 x 6×3]
    • 61: 50 x 50 [2×52 x 2×52]
    • 73: 8 x 8 [2×4 x 2×4]
    • 89: 42 x 42 [6×7 x 6×7]
    • 97: 8 x 8 [2×4 x 2×4]
Primes as Exact Values of Roots of Sums of Squares – as Corners of Diagonals in Squares
  • and Non-Primes:
    • 39 [3 x 13]
    • 51 [3 x 17]
    • 87 [3 x 19]

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